ThmDex – An index of mathematical definitions, results, and conjectures.
Formulation F4570 on R2787: Pascal's rule
F4570
Formulation 0
Let $n, m \in \mathbb{N}$ each be a D996: Natural number such that
(i) \begin{equation} 1 \leq m \leq n \end{equation}
Then \begin{equation} \binom{n}{m} = \binom{n - 1}{m} + \binom{n - 1}{m - 1} \end{equation}